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Finding the Fourth Proportional to 49,418.76, 68,197.92 and 28,204.86

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Solution

The fourth proportional to 49,418.76, 68,197.92 and 28,204.86 is: 38,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,418.76 : 68,197.92 = 28,204.86 : x
  2. Step 2: Convert to fraction form
    49,418.76/68,197.92 = 28,204.86/x
  3. Step 3: Cross multiply
    49,418.76x = 68,197.92 × 28,204.86
  4. Step 4: Simplify right side
    49,418.76x = 1,923,512,785.89
  5. Step 5: Solve for x
    x = 1,923,512,785.89/49,418.76
  6. Step 6: Final answer
    x = 38,922.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.